Somewhat tangentially, I worked out probability curves for the Carcosa Dice Convention at AnyDice.com.
If the URL doesn't show the script, here it is:
\Carcosa dice, from _Carcosa_ by Geoffrey McKinney (Lamentations of the Flame Princess)\
\output d{d4, d6, d8, d10, d12} named "1 die"\
output d{1:5, 2:5, 3:5, 4:5, 5:4, 6:4, 7:3, 8:3, 9:2, 10:2, 11, 12} named "1 die"
loop N over {2, 3, 5, 8} {
output d{Nd4, Nd6, Nd8, Nd10, Nd12} named "[N] dice"
}
output 8d{d4, d6, d8, d10, d12} named "8 x 1 die"
"Imagine you were dying. Imagine you were afraid and a long way from home in terrible pain. Just when you thought it couldn't get worse, you looked up and saw the face of the Devil himself. Hello, Dalek." -- The Doctor, Doctor Who, "The Wedding of River Song"